What is the Greatest Common Factor of 50652 and 50662?

Greatest common factor (GCF) of 50652 and 50662 is 2.

GCF(50652,50662) = 2

We will now calculate the prime factors of 50652 and 50662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50652 and 50662.

How to find the GCF of 50652 and 50662?

We will first find the prime factorization of 50652 and 50662. After we will calculate the factors of 50652 and 50662 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50662

Prime factors of 50662 are 2, 73, 347. Prime factorization of 50662 in exponential form is:

50662 = 2¹ × 73¹ × 347¹

Step-3: Factors of 50652

List of positive integer factors of 50652 that divides 50652 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

Step-4: Factors of 50662

List of positive integer factors of 50662 that divides 50652 without a remainder.

1, 2, 73, 146, 347, 694, 25331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50652 and 50662. The biggest common factor number is the GCF number.
So the greatest common factor 50652 and 50662 is 2.

Also check out the Least Common Multiple of 50652 and 50662