What is the Greatest Common Factor of 77644 and 77653?

Greatest common factor (GCF) of 77644 and 77653 is 1.

GCF(77644,77653) = 1

We will now calculate the prime factors of 77644 and 77653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77644 and 77653.

How to find the GCF of 77644 and 77653?

We will first find the prime factorization of 77644 and 77653. After we will calculate the factors of 77644 and 77653 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 77653

Prime factors of 77653 are 19, 61, 67. Prime factorization of 77653 in exponential form is:

77653 = 19¹ × 61¹ × 67¹

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 77653

List of positive integer factors of 77653 that divides 77644 without a remainder.

1, 19, 61, 67, 1159, 1273, 4087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77644 and 77653. The biggest common factor number is the GCF number.
So the greatest common factor 77644 and 77653 is 1.

Also check out the Least Common Multiple of 77644 and 77653