What is the Greatest Common Factor of 49712 and 49730?

Greatest common factor (GCF) of 49712 and 49730 is 2.

GCF(49712,49730) = 2

We will now calculate the prime factors of 49712 and 49730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49712 and 49730.

How to find the GCF of 49712 and 49730?

We will first find the prime factorization of 49712 and 49730. After we will calculate the factors of 49712 and 49730 and find the biggest common factor number .

Step-1: Prime Factorization of 49712

Prime factors of 49712 are 2, 13, 239. Prime factorization of 49712 in exponential form is:

49712 = 2⁴ × 13¹ × 239¹

Step-2: Prime Factorization of 49730

Prime factors of 49730 are 2, 5, 4973. Prime factorization of 49730 in exponential form is:

49730 = 2¹ × 5¹ × 4973¹

Step-3: Factors of 49712

List of positive integer factors of 49712 that divides 49712 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 239, 478, 956, 1912, 3107, 3824, 6214, 12428, 24856

Step-4: Factors of 49730

List of positive integer factors of 49730 that divides 49712 without a remainder.

1, 2, 5, 10, 4973, 9946, 24865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49712 and 49730. The biggest common factor number is the GCF number.
So the greatest common factor 49712 and 49730 is 2.

Also check out the Least Common Multiple of 49712 and 49730