What is the Greatest Common Factor of 62034 and 62048?

Greatest common factor (GCF) of 62034 and 62048 is 14.

GCF(62034,62048) = 14

We will now calculate the prime factors of 62034 and 62048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62034 and 62048.

How to find the GCF of 62034 and 62048?

We will first find the prime factorization of 62034 and 62048. After we will calculate the factors of 62034 and 62048 and find the biggest common factor number .

Step-1: Prime Factorization of 62034

Prime factors of 62034 are 2, 3, 7, 211. Prime factorization of 62034 in exponential form is:

62034 = 2¹ × 3¹ × 7² × 211¹

Step-2: Prime Factorization of 62048

Prime factors of 62048 are 2, 7, 277. Prime factorization of 62048 in exponential form is:

62048 = 2⁵ × 7¹ × 277¹

Step-3: Factors of 62034

List of positive integer factors of 62034 that divides 62034 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 211, 294, 422, 633, 1266, 1477, 2954, 4431, 8862, 10339, 20678, 31017

Step-4: Factors of 62048

List of positive integer factors of 62048 that divides 62034 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 277, 554, 1108, 1939, 2216, 3878, 4432, 7756, 8864, 15512, 31024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62034 and 62048. The biggest common factor number is the GCF number.
So the greatest common factor 62034 and 62048 is 14.

Also check out the Least Common Multiple of 62034 and 62048