What is the Greatest Common Factor of 62134 and 62154?

Greatest common factor (GCF) of 62134 and 62154 is 2.

GCF(62134,62154) = 2

We will now calculate the prime factors of 62134 and 62154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62134 and 62154.

How to find the GCF of 62134 and 62154?

We will first find the prime factorization of 62134 and 62154. After we will calculate the factors of 62134 and 62154 and find the biggest common factor number .

Step-1: Prime Factorization of 62134

Prime factors of 62134 are 2, 47, 661. Prime factorization of 62134 in exponential form is:

62134 = 2¹ × 47¹ × 661¹

Step-2: Prime Factorization of 62154

Prime factors of 62154 are 2, 3, 1151. Prime factorization of 62154 in exponential form is:

62154 = 2¹ × 3³ × 1151¹

Step-3: Factors of 62134

List of positive integer factors of 62134 that divides 62134 without a remainder.

1, 2, 47, 94, 661, 1322, 31067

Step-4: Factors of 62154

List of positive integer factors of 62154 that divides 62134 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1151, 2302, 3453, 6906, 10359, 20718, 31077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62134 and 62154. The biggest common factor number is the GCF number.
So the greatest common factor 62134 and 62154 is 2.

Also check out the Least Common Multiple of 62134 and 62154