What is the Greatest Common Factor of 89070 and 89079?
Greatest common factor (GCF) of 89070 and 89079 is 3.
GCF(89070,89079) = 3
We will now calculate the prime factors of 89070 and 89079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89070 and 89079.
How to find the GCF of 89070 and 89079?
We will first find the prime factorization of 89070 and 89079. After we will calculate the factors of 89070 and 89079 and find the biggest common factor number .
Step-1: Prime Factorization of 89070
Prime factors of 89070 are 2, 3, 5, 2969. Prime factorization of 89070 in exponential form is:
89070 = 21 × 31 × 51 × 29691
Step-2: Prime Factorization of 89079
Prime factors of 89079 are 3, 23, 1291. Prime factorization of 89079 in exponential form is:
89079 = 31 × 231 × 12911
Step-3: Factors of 89070
List of positive integer factors of 89070 that divides 89070 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 2969, 5938, 8907, 14845, 17814, 29690, 44535
Step-4: Factors of 89079
List of positive integer factors of 89079 that divides 89070 without a remainder.
1, 3, 23, 69, 1291, 3873, 29693
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 89070 and 89079. The biggest common factor number is the GCF number.
So the greatest common factor 89070 and 89079 is 3.
Also check out the Least Common Multiple of 89070 and 89079
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