What is the Greatest Common Factor of 55034 and 55048?

Greatest common factor (GCF) of 55034 and 55048 is 14.

GCF(55034,55048) = 14

We will now calculate the prime factors of 55034 and 55048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55034 and 55048.

How to find the GCF of 55034 and 55048?

We will first find the prime factorization of 55034 and 55048. After we will calculate the factors of 55034 and 55048 and find the biggest common factor number .

Step-1: Prime Factorization of 55034

Prime factors of 55034 are 2, 7, 3931. Prime factorization of 55034 in exponential form is:

55034 = 2¹ × 7¹ × 3931¹

Step-2: Prime Factorization of 55048

Prime factors of 55048 are 2, 7, 983. Prime factorization of 55048 in exponential form is:

55048 = 2³ × 7¹ × 983¹

Step-3: Factors of 55034

List of positive integer factors of 55034 that divides 55034 without a remainder.

1, 2, 7, 14, 3931, 7862, 27517

Step-4: Factors of 55048

List of positive integer factors of 55048 that divides 55034 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 983, 1966, 3932, 6881, 7864, 13762, 27524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55034 and 55048. The biggest common factor number is the GCF number.
So the greatest common factor 55034 and 55048 is 14.

Also check out the Least Common Multiple of 55034 and 55048