What is the Greatest Common Factor of 77034 and 77053?

Greatest common factor (GCF) of 77034 and 77053 is 1.

GCF(77034,77053) = 1

We will now calculate the prime factors of 77034 and 77053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77034 and 77053.

How to find the GCF of 77034 and 77053?

We will first find the prime factorization of 77034 and 77053. After we will calculate the factors of 77034 and 77053 and find the biggest common factor number .

Step-1: Prime Factorization of 77034

Prime factors of 77034 are 2, 3, 37, 347. Prime factorization of 77034 in exponential form is:

77034 = 2¹ × 3¹ × 37¹ × 347¹

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 77034

List of positive integer factors of 77034 that divides 77034 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 347, 694, 1041, 2082, 12839, 25678, 38517

Step-4: Factors of 77053

List of positive integer factors of 77053 that divides 77034 without a remainder.

1, 29, 2657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77034 and 77053. The biggest common factor number is the GCF number.
So the greatest common factor 77034 and 77053 is 1.

Also check out the Least Common Multiple of 77034 and 77053