What is the Greatest Common Factor of 49042 and 49056?

Greatest common factor (GCF) of 49042 and 49056 is 14.

GCF(49042,49056) = 14

We will now calculate the prime factors of 49042 and 49056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49042 and 49056.

How to find the GCF of 49042 and 49056?

We will first find the prime factorization of 49042 and 49056. After we will calculate the factors of 49042 and 49056 and find the biggest common factor number .

Step-1: Prime Factorization of 49042

Prime factors of 49042 are 2, 7, 31, 113. Prime factorization of 49042 in exponential form is:

49042 = 2¹ × 7¹ × 31¹ × 113¹

Step-2: 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-3: Factors of 49042

List of positive integer factors of 49042 that divides 49042 without a remainder.

1, 2, 7, 14, 31, 62, 113, 217, 226, 434, 791, 1582, 3503, 7006, 24521

Step-4: Factors of 49056

List of positive integer factors of 49056 that divides 49042 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49042 and 49056. The biggest common factor number is the GCF number.
So the greatest common factor 49042 and 49056 is 14.

Also check out the Least Common Multiple of 49042 and 49056