What is the Greatest Common Factor of 67138 and 67152?

Greatest common factor (GCF) of 67138 and 67152 is 2.

GCF(67138,67152) = 2

We will now calculate the prime factors of 67138 and 67152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67138 and 67152.

How to find the GCF of 67138 and 67152?

We will first find the prime factorization of 67138 and 67152. After we will calculate the factors of 67138 and 67152 and find the biggest common factor number .

Step-1: Prime Factorization of 67138

Prime factors of 67138 are 2, 33569. Prime factorization of 67138 in exponential form is:

67138 = 2¹ × 33569¹

Step-2: Prime Factorization of 67152

Prime factors of 67152 are 2, 3, 1399. Prime factorization of 67152 in exponential form is:

67152 = 2⁴ × 3¹ × 1399¹

Step-3: Factors of 67138

List of positive integer factors of 67138 that divides 67138 without a remainder.

1, 2, 33569

Step-4: Factors of 67152

List of positive integer factors of 67152 that divides 67138 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1399, 2798, 4197, 5596, 8394, 11192, 16788, 22384, 33576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67138 and 67152. The biggest common factor number is the GCF number.
So the greatest common factor 67138 and 67152 is 2.

Also check out the Least Common Multiple of 67138 and 67152