What is the Greatest Common Factor of 61676 and 61680?

Greatest common factor (GCF) of 61676 and 61680 is 4.

GCF(61676,61680) = 4

We will now calculate the prime factors of 61676 and 61680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61676 and 61680.

How to find the GCF of 61676 and 61680?

We will first find the prime factorization of 61676 and 61680. After we will calculate the factors of 61676 and 61680 and find the biggest common factor number .

Step-1: Prime Factorization of 61676

Prime factors of 61676 are 2, 17, 907. Prime factorization of 61676 in exponential form is:

61676 = 2² × 17¹ × 907¹

Step-2: Prime Factorization of 61680

Prime factors of 61680 are 2, 3, 5, 257. Prime factorization of 61680 in exponential form is:

61680 = 2⁴ × 3¹ × 5¹ × 257¹

Step-3: Factors of 61676

List of positive integer factors of 61676 that divides 61676 without a remainder.

1, 2, 4, 17, 34, 68, 907, 1814, 3628, 15419, 30838

Step-4: Factors of 61680

List of positive integer factors of 61680 that divides 61676 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 257, 514, 771, 1028, 1285, 1542, 2056, 2570, 3084, 3855, 4112, 5140, 6168, 7710, 10280, 12336, 15420, 20560, 30840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61676 and 61680. The biggest common factor number is the GCF number.
So the greatest common factor 61676 and 61680 is 4.

Also check out the Least Common Multiple of 61676 and 61680