What is the Greatest Common Factor of 62134 and 62148?

Greatest common factor (GCF) of 62134 and 62148 is 2.

GCF(62134,62148) = 2

We will now calculate the prime factors of 62134 and 62148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62134 and 62148.

How to find the GCF of 62134 and 62148?

We will first find the prime factorization of 62134 and 62148. After we will calculate the factors of 62134 and 62148 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 62148

Prime factors of 62148 are 2, 3, 5179. Prime factorization of 62148 in exponential form is:

62148 = 2² × 3¹ × 5179¹

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 62148

List of positive integer factors of 62148 that divides 62134 without a remainder.

1, 2, 3, 4, 6, 12, 5179, 10358, 15537, 20716, 31074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62134 and 62148. The biggest common factor number is the GCF number.
So the greatest common factor 62134 and 62148 is 2.

Also check out the Least Common Multiple of 62134 and 62148