What is the Greatest Common Factor of 61320 and 61330?

Greatest common factor (GCF) of 61320 and 61330 is 10.

GCF(61320,61330) = 10

We will now calculate the prime factors of 61320 and 61330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61320 and 61330.

How to find the GCF of 61320 and 61330?

We will first find the prime factorization of 61320 and 61330. After we will calculate the factors of 61320 and 61330 and find the biggest common factor number .

Step-1: Prime Factorization of 61320

Prime factors of 61320 are 2, 3, 5, 7, 73. Prime factorization of 61320 in exponential form is:

61320 = 2³ × 3¹ × 5¹ × 7¹ × 73¹

Step-2: Prime Factorization of 61330

Prime factors of 61330 are 2, 5, 6133. Prime factorization of 61330 in exponential form is:

61330 = 2¹ × 5¹ × 6133¹

Step-3: Factors of 61320

List of positive integer factors of 61320 that divides 61320 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 73, 84, 105, 120, 140, 146, 168, 210, 219, 280, 292, 365, 420, 438, 511, 584, 730, 840, 876, 1022, 1095, 1460, 1533, 1752, 2044, 2190, 2555, 2920, 3066, 4088, 4380, 5110, 6132, 7665, 8760, 10220, 12264, 15330, 20440, 30660

Step-4: Factors of 61330

List of positive integer factors of 61330 that divides 61320 without a remainder.

1, 2, 5, 10, 6133, 12266, 30665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61320 and 61330. The biggest common factor number is the GCF number.
So the greatest common factor 61320 and 61330 is 10.

Also check out the Least Common Multiple of 61320 and 61330