What is the Greatest Common Factor of 67150 and 67160?
Greatest common factor (GCF) of 67150 and 67160 is 10.
GCF(67150,67160) = 10
We will now calculate the prime factors of 67150 and 67160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67150 and 67160.
How to find the GCF of 67150 and 67160?
We will first find the prime factorization of 67150 and 67160. After we will calculate the factors of 67150 and 67160 and find the biggest common factor number .
Step-1: Prime Factorization of 67150
Prime factors of 67150 are 2, 5, 17, 79. Prime factorization of 67150 in exponential form is:
67150 = 21 × 52 × 171 × 791
Step-2: Prime Factorization of 67160
Prime factors of 67160 are 2, 5, 23, 73. Prime factorization of 67160 in exponential form is:
67160 = 23 × 51 × 231 × 731
Step-3: Factors of 67150
List of positive integer factors of 67150 that divides 67150 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 79, 85, 158, 170, 395, 425, 790, 850, 1343, 1975, 2686, 3950, 6715, 13430, 33575
Step-4: Factors of 67160
List of positive integer factors of 67160 that divides 67150 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 73, 92, 115, 146, 184, 230, 292, 365, 460, 584, 730, 920, 1460, 1679, 2920, 3358, 6716, 8395, 13432, 16790, 33580
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67150 and 67160. The biggest common factor number is the GCF number.
So the greatest common factor 67150 and 67160 is 10.
Also check out the Least Common Multiple of 67150 and 67160
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