What is the Greatest Common Factor of 71372 and 71379?

Greatest common factor (GCF) of 71372 and 71379 is 7.

GCF(71372,71379) = 7

We will now calculate the prime factors of 71372 and 71379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71372 and 71379.

How to find the GCF of 71372 and 71379?

We will first find the prime factorization of 71372 and 71379. After we will calculate the factors of 71372 and 71379 and find the biggest common factor number .

Step-1: Prime Factorization of 71372

Prime factors of 71372 are 2, 7, 2549. Prime factorization of 71372 in exponential form is:

71372 = 2² × 7¹ × 2549¹

Step-2: Prime Factorization of 71379

Prime factors of 71379 are 3, 7, 11, 103. Prime factorization of 71379 in exponential form is:

71379 = 3² × 7¹ × 11¹ × 103¹

Step-3: Factors of 71372

List of positive integer factors of 71372 that divides 71372 without a remainder.

1, 2, 4, 7, 14, 28, 2549, 5098, 10196, 17843, 35686

Step-4: Factors of 71379

List of positive integer factors of 71379 that divides 71372 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 103, 231, 309, 693, 721, 927, 1133, 2163, 3399, 6489, 7931, 10197, 23793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71372 and 71379. The biggest common factor number is the GCF number.
So the greatest common factor 71372 and 71379 is 7.

Also check out the Least Common Multiple of 71372 and 71379