What is the Greatest Common Factor of 46980 and 46988?

Greatest common factor (GCF) of 46980 and 46988 is 4.

GCF(46980,46988) = 4

We will now calculate the prime factors of 46980 and 46988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46980 and 46988.

How to find the GCF of 46980 and 46988?

We will first find the prime factorization of 46980 and 46988. After we will calculate the factors of 46980 and 46988 and find the biggest common factor number .

Step-1: Prime Factorization of 46980

Prime factors of 46980 are 2, 3, 5, 29. Prime factorization of 46980 in exponential form is:

46980 = 2² × 3⁴ × 5¹ × 29¹

Step-2: Prime Factorization of 46988

Prime factors of 46988 are 2, 17, 691. Prime factorization of 46988 in exponential form is:

46988 = 2² × 17¹ × 691¹

Step-3: Factors of 46980

List of positive integer factors of 46980 that divides 46980 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 29, 30, 36, 45, 54, 58, 60, 81, 87, 90, 108, 116, 135, 145, 162, 174, 180, 261, 270, 290, 324, 348, 405, 435, 522, 540, 580, 783, 810, 870, 1044, 1305, 1566, 1620, 1740, 2349, 2610, 3132, 3915, 4698, 5220, 7830, 9396, 11745, 15660, 23490

Step-4: Factors of 46988

List of positive integer factors of 46988 that divides 46980 without a remainder.

1, 2, 4, 17, 34, 68, 691, 1382, 2764, 11747, 23494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46980 and 46988. The biggest common factor number is the GCF number.
So the greatest common factor 46980 and 46988 is 4.

Also check out the Least Common Multiple of 46980 and 46988