What is the Greatest Common Factor of 79928 and 79945?

Greatest common factor (GCF) of 79928 and 79945 is 1.

GCF(79928,79945) = 1

We will now calculate the prime factors of 79928 and 79945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79928 and 79945.

How to find the GCF of 79928 and 79945?

We will first find the prime factorization of 79928 and 79945. After we will calculate the factors of 79928 and 79945 and find the biggest common factor number .

Step-1: Prime Factorization of 79928

Prime factors of 79928 are 2, 97, 103. Prime factorization of 79928 in exponential form is:

79928 = 2³ × 97¹ × 103¹

Step-2: Prime Factorization of 79945

Prime factors of 79945 are 5, 59, 271. Prime factorization of 79945 in exponential form is:

79945 = 5¹ × 59¹ × 271¹

Step-3: Factors of 79928

List of positive integer factors of 79928 that divides 79928 without a remainder.

1, 2, 4, 8, 97, 103, 194, 206, 388, 412, 776, 824, 9991, 19982, 39964

Step-4: Factors of 79945

List of positive integer factors of 79945 that divides 79928 without a remainder.

1, 5, 59, 271, 295, 1355, 15989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79928 and 79945. The biggest common factor number is the GCF number.
So the greatest common factor 79928 and 79945 is 1.

Also check out the Least Common Multiple of 79928 and 79945