What is the Greatest Common Factor of 49056 and 49068?

Greatest common factor (GCF) of 49056 and 49068 is 12.

GCF(49056,49068) = 12

We will now calculate the prime factors of 49056 and 49068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49056 and 49068.

How to find the GCF of 49056 and 49068?

We will first find the prime factorization of 49056 and 49068. After we will calculate the factors of 49056 and 49068 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 49068

Prime factors of 49068 are 2, 3, 29, 47. Prime factorization of 49068 in exponential form is:

49068 = 2² × 3² × 29¹ × 47¹

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 49068

List of positive integer factors of 49068 that divides 49056 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 47, 58, 87, 94, 116, 141, 174, 188, 261, 282, 348, 423, 522, 564, 846, 1044, 1363, 1692, 2726, 4089, 5452, 8178, 12267, 16356, 24534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49056 and 49068. The biggest common factor number is the GCF number.
So the greatest common factor 49056 and 49068 is 12.

Also check out the Least Common Multiple of 49056 and 49068