What is the Greatest Common Factor of 77658 and 77672?

Greatest common factor (GCF) of 77658 and 77672 is 14.

GCF(77658,77672) = 14

We will now calculate the prime factors of 77658 and 77672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77658 and 77672.

How to find the GCF of 77658 and 77672?

We will first find the prime factorization of 77658 and 77672. After we will calculate the factors of 77658 and 77672 and find the biggest common factor number .

Step-1: Prime Factorization of 77658

Prime factors of 77658 are 2, 3, 7, 43. Prime factorization of 77658 in exponential form is:

77658 = 2¹ × 3¹ × 7¹ × 43²

Step-2: Prime Factorization of 77672

Prime factors of 77672 are 2, 7, 19, 73. Prime factorization of 77672 in exponential form is:

77672 = 2³ × 7¹ × 19¹ × 73¹

Step-3: Factors of 77658

List of positive integer factors of 77658 that divides 77658 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806, 1849, 3698, 5547, 11094, 12943, 25886, 38829

Step-4: Factors of 77672

List of positive integer factors of 77672 that divides 77658 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 73, 76, 133, 146, 152, 266, 292, 511, 532, 584, 1022, 1064, 1387, 2044, 2774, 4088, 5548, 9709, 11096, 19418, 38836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77658 and 77672. The biggest common factor number is the GCF number.
So the greatest common factor 77658 and 77672 is 14.

Also check out the Least Common Multiple of 77658 and 77672