What is the Greatest Common Factor of 49056 and 49065?

Greatest common factor (GCF) of 49056 and 49065 is 3.

GCF(49056,49065) = 3

We will now calculate the prime factors of 49056 and 49065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49056 and 49065.

How to find the GCF of 49056 and 49065?

We will first find the prime factorization of 49056 and 49065. After we will calculate the factors of 49056 and 49065 and find the biggest common factor number .

Step-1: Prime Factorization of 49056

Prime factors of 49056 are 2, 3, 7, 73. Prime factorization of 49056 in exponential form is:

49056 = 2⁵ × 3¹ × 7¹ × 73¹

Step-2: Prime Factorization of 49065

Prime factors of 49065 are 3, 5, 3271. Prime factorization of 49065 in exponential form is:

49065 = 3¹ × 5¹ × 3271¹

Step-3: Factors of 49056

List of positive integer factors of 49056 that divides 49056 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 73, 84, 96, 112, 146, 168, 219, 224, 292, 336, 438, 511, 584, 672, 876, 1022, 1168, 1533, 1752, 2044, 2336, 3066, 3504, 4088, 6132, 7008, 8176, 12264, 16352, 24528

Step-4: Factors of 49065

List of positive integer factors of 49065 that divides 49056 without a remainder.

1, 3, 5, 15, 3271, 9813, 16355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49056 and 49065. The biggest common factor number is the GCF number.
So the greatest common factor 49056 and 49065 is 3.

Also check out the Least Common Multiple of 49056 and 49065