What is the Greatest Common Factor of 74571 and 74580?

Greatest common factor (GCF) of 74571 and 74580 is 3.

GCF(74571,74580) = 3

We will now calculate the prime factors of 74571 and 74580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74571 and 74580.

How to find the GCF of 74571 and 74580?

We will first find the prime factorization of 74571 and 74580. After we will calculate the factors of 74571 and 74580 and find the biggest common factor number .

Step-1: Prime Factorization of 74571

Prime factors of 74571 are 3, 7, 53, 67. Prime factorization of 74571 in exponential form is:

74571 = 3¹ × 7¹ × 53¹ × 67¹

Step-2: Prime Factorization of 74580

Prime factors of 74580 are 2, 3, 5, 11, 113. Prime factorization of 74580 in exponential form is:

74580 = 2² × 3¹ × 5¹ × 11¹ × 113¹

Step-3: Factors of 74571

List of positive integer factors of 74571 that divides 74571 without a remainder.

1, 3, 7, 21, 53, 67, 159, 201, 371, 469, 1113, 1407, 3551, 10653, 24857

Step-4: Factors of 74580

List of positive integer factors of 74580 that divides 74571 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 113, 132, 165, 220, 226, 330, 339, 452, 565, 660, 678, 1130, 1243, 1356, 1695, 2260, 2486, 3390, 3729, 4972, 6215, 6780, 7458, 12430, 14916, 18645, 24860, 37290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74571 and 74580. The biggest common factor number is the GCF number.
So the greatest common factor 74571 and 74580 is 3.

Also check out the Least Common Multiple of 74571 and 74580