What is the Greatest Common Factor of 77044 and 77053?

Greatest common factor (GCF) of 77044 and 77053 is 1.

GCF(77044,77053) = 1

We will now calculate the prime factors of 77044 and 77053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77044 and 77053.

How to find the GCF of 77044 and 77053?

We will first find the prime factorization of 77044 and 77053. After we will calculate the factors of 77044 and 77053 and find the biggest common factor number .

Step-1: Prime Factorization of 77044

Prime factors of 77044 are 2, 11, 17, 103. Prime factorization of 77044 in exponential form is:

77044 = 2² × 11¹ × 17¹ × 103¹

Step-2: Prime Factorization of 77053

Prime factors of 77053 are 29, 2657. Prime factorization of 77053 in exponential form is:

77053 = 29¹ × 2657¹

Step-3: Factors of 77044

List of positive integer factors of 77044 that divides 77044 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 103, 187, 206, 374, 412, 748, 1133, 1751, 2266, 3502, 4532, 7004, 19261, 38522

Step-4: Factors of 77053

List of positive integer factors of 77053 that divides 77044 without a remainder.

1, 29, 2657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77044 and 77053. The biggest common factor number is the GCF number.
So the greatest common factor 77044 and 77053 is 1.

Also check out the Least Common Multiple of 77044 and 77053