What is the Greatest Common Factor of 89460 and 89464?

Greatest common factor (GCF) of 89460 and 89464 is 4.

GCF(89460,89464) = 4

We will now calculate the prime factors of 89460 and 89464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89460 and 89464.

How to find the GCF of 89460 and 89464?

We will first find the prime factorization of 89460 and 89464. After we will calculate the factors of 89460 and 89464 and find the biggest common factor number .

Step-1: Prime Factorization of 89460

Prime factors of 89460 are 2, 3, 5, 7, 71. Prime factorization of 89460 in exponential form is:

89460 = 2² × 3² × 5¹ × 7¹ × 71¹

Step-2: Prime Factorization of 89464

Prime factors of 89464 are 2, 53, 211. Prime factorization of 89464 in exponential form is:

89464 = 2³ × 53¹ × 211¹

Step-3: Factors of 89460

List of positive integer factors of 89460 that divides 89460 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 71, 84, 90, 105, 126, 140, 142, 180, 210, 213, 252, 284, 315, 355, 420, 426, 497, 630, 639, 710, 852, 994, 1065, 1260, 1278, 1420, 1491, 1988, 2130, 2485, 2556, 2982, 3195, 4260, 4473, 4970, 5964, 6390, 7455, 8946, 9940, 12780, 14910, 17892, 22365, 29820, 44730

Step-4: Factors of 89464

List of positive integer factors of 89464 that divides 89460 without a remainder.

1, 2, 4, 8, 53, 106, 211, 212, 422, 424, 844, 1688, 11183, 22366, 44732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89460 and 89464. The biggest common factor number is the GCF number.
So the greatest common factor 89460 and 89464 is 4.

Also check out the Least Common Multiple of 89460 and 89464