What is the Greatest Common Factor of 61320 and 61335?

Greatest common factor (GCF) of 61320 and 61335 is 15.

GCF(61320,61335) = 15

We will now calculate the prime factors of 61320 and 61335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61320 and 61335.

How to find the GCF of 61320 and 61335?

We will first find the prime factorization of 61320 and 61335. After we will calculate the factors of 61320 and 61335 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 61335

Prime factors of 61335 are 3, 5, 29, 47. Prime factorization of 61335 in exponential form is:

61335 = 3² × 5¹ × 29¹ × 47¹

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 61335

List of positive integer factors of 61335 that divides 61320 without a remainder.

1, 3, 5, 9, 15, 29, 45, 47, 87, 141, 145, 235, 261, 423, 435, 705, 1305, 1363, 2115, 4089, 6815, 12267, 20445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61320 and 61335. The biggest common factor number is the GCF number.
So the greatest common factor 61320 and 61335 is 15.

Also check out the Least Common Multiple of 61320 and 61335