What is the Greatest Common Factor of 1070 and 1090?
Greatest common factor (GCF) of 1070 and 1090 is 10.
GCF(1070,1090) = 10
We will now calculate the prime factors of 1070 and 1090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1070 and 1090.
How to find the GCF of 1070 and 1090?
We will first find the prime factorization of 1070 and 1090. After we will calculate the factors of 1070 and 1090 and find the biggest common factor number .
Step-1: Prime Factorization of 1070
Prime factors of 1070 are 2, 5, 107. Prime factorization of 1070 in exponential form is:
1070 = 21 × 51 × 1071
Step-2: Prime Factorization of 1090
Prime factors of 1090 are 2, 5, 109. Prime factorization of 1090 in exponential form is:
1090 = 21 × 51 × 1091
Step-3: Factors of 1070
List of positive integer factors of 1070 that divides 1070 without a remainder.
1, 2, 5, 10, 107, 214, 535
Step-4: Factors of 1090
List of positive integer factors of 1090 that divides 1070 without a remainder.
1, 2, 5, 10, 109, 218, 545
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1070 and 1090. The biggest common factor number is the GCF number.
So the greatest common factor 1070 and 1090 is 10.
Also check out the Least Common Multiple of 1070 and 1090
Related Greatest Common Factors of 1070
- GCF of 1070 and 1074
- GCF of 1070 and 1075
- GCF of 1070 and 1076
- GCF of 1070 and 1077
- GCF of 1070 and 1078
- GCF of 1070 and 1079
- GCF of 1070 and 1080
- GCF of 1070 and 1081
- GCF of 1070 and 1082
- GCF of 1070 and 1083
- GCF of 1070 and 1084
- GCF of 1070 and 1085
- GCF of 1070 and 1086
- GCF of 1070 and 1087
- GCF of 1070 and 1088
- GCF of 1070 and 1089
- GCF of 1070 and 1090
Related Greatest Common Factors of 1090
- GCF of 1090 and 1094
- GCF of 1090 and 1095
- GCF of 1090 and 1096
- GCF of 1090 and 1097
- GCF of 1090 and 1098
- GCF of 1090 and 1099
- GCF of 1090 and 1100
- GCF of 1090 and 1101
- GCF of 1090 and 1102
- GCF of 1090 and 1103
- GCF of 1090 and 1104
- GCF of 1090 and 1105
- GCF of 1090 and 1106
- GCF of 1090 and 1107
- GCF of 1090 and 1108
- GCF of 1090 and 1109
- GCF of 1090 and 1110