What is the Greatest Common Factor of 77034 and 77054?

Greatest common factor (GCF) of 77034 and 77054 is 2.

GCF(77034,77054) = 2

We will now calculate the prime factors of 77034 and 77054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77034 and 77054.

How to find the GCF of 77034 and 77054?

We will first find the prime factorization of 77034 and 77054. After we will calculate the factors of 77034 and 77054 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 77054

Prime factors of 77054 are 2, 59, 653. Prime factorization of 77054 in exponential form is:

77054 = 2¹ × 59¹ × 653¹

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 77054

List of positive integer factors of 77054 that divides 77034 without a remainder.

1, 2, 59, 118, 653, 1306, 38527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77034 and 77054. The biggest common factor number is the GCF number.
So the greatest common factor 77034 and 77054 is 2.

Also check out the Least Common Multiple of 77034 and 77054