What is the Greatest Common Factor of 77644 and 77652?

Greatest common factor (GCF) of 77644 and 77652 is 4.

GCF(77644,77652) = 4

We will now calculate the prime factors of 77644 and 77652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77644 and 77652.

How to find the GCF of 77644 and 77652?

We will first find the prime factorization of 77644 and 77652. After we will calculate the factors of 77644 and 77652 and find the biggest common factor number .

Step-1: Prime Factorization of 77644

Prime factors of 77644 are 2, 7, 47, 59. Prime factorization of 77644 in exponential form is:

77644 = 2² × 7¹ × 47¹ × 59¹

Step-2: Prime Factorization of 77652

Prime factors of 77652 are 2, 3, 719. Prime factorization of 77652 in exponential form is:

77652 = 2² × 3³ × 719¹

Step-3: Factors of 77644

List of positive integer factors of 77644 that divides 77644 without a remainder.

1, 2, 4, 7, 14, 28, 47, 59, 94, 118, 188, 236, 329, 413, 658, 826, 1316, 1652, 2773, 5546, 11092, 19411, 38822

Step-4: Factors of 77652

List of positive integer factors of 77652 that divides 77644 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 719, 1438, 2157, 2876, 4314, 6471, 8628, 12942, 19413, 25884, 38826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77644 and 77652. The biggest common factor number is the GCF number.
So the greatest common factor 77644 and 77652 is 4.

Also check out the Least Common Multiple of 77644 and 77652