What is the Greatest Common Factor of 50640 and 50652?

Greatest common factor (GCF) of 50640 and 50652 is 12.

GCF(50640,50652) = 12

We will now calculate the prime factors of 50640 and 50652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50640 and 50652.

How to find the GCF of 50640 and 50652?

We will first find the prime factorization of 50640 and 50652. After we will calculate the factors of 50640 and 50652 and find the biggest common factor number .

Step-1: Prime Factorization of 50640

Prime factors of 50640 are 2, 3, 5, 211. Prime factorization of 50640 in exponential form is:

50640 = 2⁴ × 3¹ × 5¹ × 211¹

Step-2: Prime Factorization of 50652

Prime factors of 50652 are 2, 3, 7, 67. Prime factorization of 50652 in exponential form is:

50652 = 2² × 3³ × 7¹ × 67¹

Step-3: Factors of 50640

List of positive integer factors of 50640 that divides 50640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 211, 240, 422, 633, 844, 1055, 1266, 1688, 2110, 2532, 3165, 3376, 4220, 5064, 6330, 8440, 10128, 12660, 16880, 25320

Step-4: Factors of 50652

List of positive integer factors of 50652 that divides 50640 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 67, 84, 108, 126, 134, 189, 201, 252, 268, 378, 402, 469, 603, 756, 804, 938, 1206, 1407, 1809, 1876, 2412, 2814, 3618, 4221, 5628, 7236, 8442, 12663, 16884, 25326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50640 and 50652. The biggest common factor number is the GCF number.
So the greatest common factor 50640 and 50652 is 12.

Also check out the Least Common Multiple of 50640 and 50652