What is the Greatest Common Factor of 64138 and 64152?

Greatest common factor (GCF) of 64138 and 64152 is 2.

GCF(64138,64152) = 2

We will now calculate the prime factors of 64138 and 64152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64138 and 64152.

How to find the GCF of 64138 and 64152?

We will first find the prime factorization of 64138 and 64152. After we will calculate the factors of 64138 and 64152 and find the biggest common factor number .

Step-1: Prime Factorization of 64138

Prime factors of 64138 are 2, 32069. Prime factorization of 64138 in exponential form is:

64138 = 2¹ × 32069¹

Step-2: Prime Factorization of 64152

Prime factors of 64152 are 2, 3, 11. Prime factorization of 64152 in exponential form is:

64152 = 2³ × 3⁶ × 11¹

Step-3: Factors of 64138

List of positive integer factors of 64138 that divides 64138 without a remainder.

1, 2, 32069

Step-4: Factors of 64152

List of positive integer factors of 64152 that divides 64138 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 132, 162, 198, 216, 243, 264, 297, 324, 396, 486, 594, 648, 729, 792, 891, 972, 1188, 1458, 1782, 1944, 2376, 2673, 2916, 3564, 5346, 5832, 7128, 8019, 10692, 16038, 21384, 32076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64138 and 64152. The biggest common factor number is the GCF number.
So the greatest common factor 64138 and 64152 is 2.

Also check out the Least Common Multiple of 64138 and 64152