What is the Greatest Common Factor of 79527 and 79534?

Greatest common factor (GCF) of 79527 and 79534 is 7.

GCF(79527,79534) = 7

We will now calculate the prime factors of 79527 and 79534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79527 and 79534.

How to find the GCF of 79527 and 79534?

We will first find the prime factorization of 79527 and 79534. After we will calculate the factors of 79527 and 79534 and find the biggest common factor number .

Step-1: Prime Factorization of 79527

Prime factors of 79527 are 3, 7, 541. Prime factorization of 79527 in exponential form is:

79527 = 3¹ × 7² × 541¹

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 79527

List of positive integer factors of 79527 that divides 79527 without a remainder.

1, 3, 7, 21, 49, 147, 541, 1623, 3787, 11361, 26509

Step-4: Factors of 79534

List of positive integer factors of 79534 that divides 79527 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 79527 and 79534. The biggest common factor number is the GCF number.
So the greatest common factor 79527 and 79534 is 7.

Also check out the Least Common Multiple of 79527 and 79534