What is the Greatest Common Factor of 70917 and 70925?

Greatest common factor (GCF) of 70917 and 70925 is 1.

GCF(70917,70925) = 1

We will now calculate the prime factors of 70917 and 70925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70917 and 70925.

How to find the GCF of 70917 and 70925?

We will first find the prime factorization of 70917 and 70925. After we will calculate the factors of 70917 and 70925 and find the biggest common factor number .

Step-1: Prime Factorization of 70917

Prime factors of 70917 are 3, 7, 11, 307. Prime factorization of 70917 in exponential form is:

70917 = 3¹ × 7¹ × 11¹ × 307¹

Step-2: Prime Factorization of 70925

Prime factors of 70925 are 5, 2837. Prime factorization of 70925 in exponential form is:

70925 = 5² × 2837¹

Step-3: Factors of 70917

List of positive integer factors of 70917 that divides 70917 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 307, 921, 2149, 3377, 6447, 10131, 23639

Step-4: Factors of 70925

List of positive integer factors of 70925 that divides 70917 without a remainder.

1, 5, 25, 2837, 14185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70917 and 70925. The biggest common factor number is the GCF number.
So the greatest common factor 70917 and 70925 is 1.

Also check out the Least Common Multiple of 70917 and 70925