What is the Greatest Common Factor of 79521 and 79534?

Greatest common factor (GCF) of 79521 and 79534 is 13.

GCF(79521,79534) = 13

We will now calculate the prime factors of 79521 and 79534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79521 and 79534.

How to find the GCF of 79521 and 79534?

We will first find the prime factorization of 79521 and 79534. After we will calculate the factors of 79521 and 79534 and find the biggest common factor number .

Step-1: Prime Factorization of 79521

Prime factors of 79521 are 3, 13, 2039. Prime factorization of 79521 in exponential form is:

79521 = 3¹ × 13¹ × 2039¹

Step-2: Prime Factorization of 79534

Prime factors of 79534 are 2, 7, 13, 19, 23. Prime factorization of 79534 in exponential form is:

79534 = 2¹ × 7¹ × 13¹ × 19¹ × 23¹

Step-3: Factors of 79521

List of positive integer factors of 79521 that divides 79521 without a remainder.

1, 3, 13, 39, 2039, 6117, 26507

Step-4: Factors of 79534

List of positive integer factors of 79534 that divides 79521 without a remainder.

1, 2, 7, 13, 14, 19, 23, 26, 38, 46, 91, 133, 161, 182, 247, 266, 299, 322, 437, 494, 598, 874, 1729, 2093, 3059, 3458, 4186, 5681, 6118, 11362, 39767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79521 and 79534. The biggest common factor number is the GCF number.
So the greatest common factor 79521 and 79534 is 13.

Also check out the Least Common Multiple of 79521 and 79534