What is the Greatest Common Factor of 77672 and 77680?

Greatest common factor (GCF) of 77672 and 77680 is 8.

GCF(77672,77680) = 8

We will now calculate the prime factors of 77672 and 77680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77672 and 77680.

How to find the GCF of 77672 and 77680?

We will first find the prime factorization of 77672 and 77680. After we will calculate the factors of 77672 and 77680 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77680

Prime factors of 77680 are 2, 5, 971. Prime factorization of 77680 in exponential form is:

77680 = 2⁴ × 5¹ × 971¹

Step-3: Factors of 77672

List of positive integer factors of 77672 that divides 77672 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

Step-4: Factors of 77680

List of positive integer factors of 77680 that divides 77672 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 971, 1942, 3884, 4855, 7768, 9710, 15536, 19420, 38840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77672 and 77680. The biggest common factor number is the GCF number.
So the greatest common factor 77672 and 77680 is 8.

Also check out the Least Common Multiple of 77672 and 77680