What is the Greatest Common Factor of 77672 and 77677?

Greatest common factor (GCF) of 77672 and 77677 is 1.

GCF(77672,77677) = 1

We will now calculate the prime factors of 77672 and 77677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77672 and 77677.

How to find the GCF of 77672 and 77677?

We will first find the prime factorization of 77672 and 77677. After we will calculate the factors of 77672 and 77677 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 77677

Prime factors of 77677 are 173, 449. Prime factorization of 77677 in exponential form is:

77677 = 173¹ × 449¹

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 77677

List of positive integer factors of 77677 that divides 77672 without a remainder.

1, 173, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77672 and 77677. The biggest common factor number is the GCF number.
So the greatest common factor 77672 and 77677 is 1.

Also check out the Least Common Multiple of 77672 and 77677