What is the Greatest Common Factor of 49520 and 49538?

Greatest common factor (GCF) of 49520 and 49538 is 2.

GCF(49520,49538) = 2

We will now calculate the prime factors of 49520 and 49538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49520 and 49538.

How to find the GCF of 49520 and 49538?

We will first find the prime factorization of 49520 and 49538. After we will calculate the factors of 49520 and 49538 and find the biggest common factor number .

Step-1: Prime Factorization of 49520

Prime factors of 49520 are 2, 5, 619. Prime factorization of 49520 in exponential form is:

49520 = 2⁴ × 5¹ × 619¹

Step-2: Prime Factorization of 49538

Prime factors of 49538 are 2, 17, 31, 47. Prime factorization of 49538 in exponential form is:

49538 = 2¹ × 17¹ × 31¹ × 47¹

Step-3: Factors of 49520

List of positive integer factors of 49520 that divides 49520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 619, 1238, 2476, 3095, 4952, 6190, 9904, 12380, 24760

Step-4: Factors of 49538

List of positive integer factors of 49538 that divides 49520 without a remainder.

1, 2, 17, 31, 34, 47, 62, 94, 527, 799, 1054, 1457, 1598, 2914, 24769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49520 and 49538. The biggest common factor number is the GCF number.
So the greatest common factor 49520 and 49538 is 2.

Also check out the Least Common Multiple of 49520 and 49538