What is the Greatest Common Factor of 55476 and 55480?

Greatest common factor (GCF) of 55476 and 55480 is 4.

GCF(55476,55480) = 4

We will now calculate the prime factors of 55476 and 55480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55476 and 55480.

How to find the GCF of 55476 and 55480?

We will first find the prime factorization of 55476 and 55480. After we will calculate the factors of 55476 and 55480 and find the biggest common factor number .

Step-1: Prime Factorization of 55476

Prime factors of 55476 are 2, 3, 23, 67. Prime factorization of 55476 in exponential form is:

55476 = 2² × 3² × 23¹ × 67¹

Step-2: Prime Factorization of 55480

Prime factors of 55480 are 2, 5, 19, 73. Prime factorization of 55480 in exponential form is:

55480 = 2³ × 5¹ × 19¹ × 73¹

Step-3: Factors of 55476

List of positive integer factors of 55476 that divides 55476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 67, 69, 92, 134, 138, 201, 207, 268, 276, 402, 414, 603, 804, 828, 1206, 1541, 2412, 3082, 4623, 6164, 9246, 13869, 18492, 27738

Step-4: Factors of 55480

List of positive integer factors of 55480 that divides 55476 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 73, 76, 95, 146, 152, 190, 292, 365, 380, 584, 730, 760, 1387, 1460, 2774, 2920, 5548, 6935, 11096, 13870, 27740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55476 and 55480. The biggest common factor number is the GCF number.
So the greatest common factor 55476 and 55480 is 4.

Also check out the Least Common Multiple of 55476 and 55480