What is the Greatest Common Factor of 73476 and 73480?

Greatest common factor (GCF) of 73476 and 73480 is 4.

GCF(73476,73480) = 4

We will now calculate the prime factors of 73476 and 73480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73476 and 73480.

How to find the GCF of 73476 and 73480?

We will first find the prime factorization of 73476 and 73480. After we will calculate the factors of 73476 and 73480 and find the biggest common factor number .

Step-1: Prime Factorization of 73476

Prime factors of 73476 are 2, 3, 13, 157. Prime factorization of 73476 in exponential form is:

73476 = 2² × 3² × 13¹ × 157¹

Step-2: Prime Factorization of 73480

Prime factors of 73480 are 2, 5, 11, 167. Prime factorization of 73480 in exponential form is:

73480 = 2³ × 5¹ × 11¹ × 167¹

Step-3: Factors of 73476

List of positive integer factors of 73476 that divides 73476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 157, 234, 314, 468, 471, 628, 942, 1413, 1884, 2041, 2826, 4082, 5652, 6123, 8164, 12246, 18369, 24492, 36738

Step-4: Factors of 73480

List of positive integer factors of 73480 that divides 73476 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 167, 220, 334, 440, 668, 835, 1336, 1670, 1837, 3340, 3674, 6680, 7348, 9185, 14696, 18370, 36740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73476 and 73480. The biggest common factor number is the GCF number.
So the greatest common factor 73476 and 73480 is 4.

Also check out the Least Common Multiple of 73476 and 73480