What is the Greatest Common Factor of 77574 and 77586?

Greatest common factor (GCF) of 77574 and 77586 is 6.

GCF(77574,77586) = 6

We will now calculate the prime factors of 77574 and 77586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77574 and 77586.

How to find the GCF of 77574 and 77586?

We will first find the prime factorization of 77574 and 77586. After we will calculate the factors of 77574 and 77586 and find the biggest common factor number .

Step-1: Prime Factorization of 77574

Prime factors of 77574 are 2, 3, 7, 1847. Prime factorization of 77574 in exponential form is:

77574 = 2¹ × 3¹ × 7¹ × 1847¹

Step-2: Prime Factorization of 77586

Prime factors of 77586 are 2, 3, 67, 193. Prime factorization of 77586 in exponential form is:

77586 = 2¹ × 3¹ × 67¹ × 193¹

Step-3: Factors of 77574

List of positive integer factors of 77574 that divides 77574 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1847, 3694, 5541, 11082, 12929, 25858, 38787

Step-4: Factors of 77586

List of positive integer factors of 77586 that divides 77574 without a remainder.

1, 2, 3, 6, 67, 134, 193, 201, 386, 402, 579, 1158, 12931, 25862, 38793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77574 and 77586. The biggest common factor number is the GCF number.
So the greatest common factor 77574 and 77586 is 6.

Also check out the Least Common Multiple of 77574 and 77586