What is the Greatest Common Factor of 49604 and 49620?

Greatest common factor (GCF) of 49604 and 49620 is 4.

GCF(49604,49620) = 4

We will now calculate the prime factors of 49604 and 49620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49604 and 49620.

How to find the GCF of 49604 and 49620?

We will first find the prime factorization of 49604 and 49620. After we will calculate the factors of 49604 and 49620 and find the biggest common factor number .

Step-1: Prime Factorization of 49604

Prime factors of 49604 are 2, 12401. Prime factorization of 49604 in exponential form is:

49604 = 2² × 12401¹

Step-2: Prime Factorization of 49620

Prime factors of 49620 are 2, 3, 5, 827. Prime factorization of 49620 in exponential form is:

49620 = 2² × 3¹ × 5¹ × 827¹

Step-3: Factors of 49604

List of positive integer factors of 49604 that divides 49604 without a remainder.

1, 2, 4, 12401, 24802

Step-4: Factors of 49620

List of positive integer factors of 49620 that divides 49604 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 827, 1654, 2481, 3308, 4135, 4962, 8270, 9924, 12405, 16540, 24810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49604 and 49620. The biggest common factor number is the GCF number.
So the greatest common factor 49604 and 49620 is 4.

Also check out the Least Common Multiple of 49604 and 49620