What is the Greatest Common Factor of 77672 and 77678?

Greatest common factor (GCF) of 77672 and 77678 is 2.

GCF(77672,77678) = 2

We will now calculate the prime factors of 77672 and 77678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77672 and 77678.

How to find the GCF of 77672 and 77678?

We will first find the prime factorization of 77672 and 77678. After we will calculate the factors of 77672 and 77678 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 77678

Prime factors of 77678 are 2, 38839. Prime factorization of 77678 in exponential form is:

77678 = 2¹ × 38839¹

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 77678

List of positive integer factors of 77678 that divides 77672 without a remainder.

1, 2, 38839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77672 and 77678. The biggest common factor number is the GCF number.
So the greatest common factor 77672 and 77678 is 2.

Also check out the Least Common Multiple of 77672 and 77678