What is the Greatest Common Factor of 46980 and 46990?

Greatest common factor (GCF) of 46980 and 46990 is 10.

GCF(46980,46990) = 10

We will now calculate the prime factors of 46980 and 46990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46980 and 46990.

How to find the GCF of 46980 and 46990?

We will first find the prime factorization of 46980 and 46990. After we will calculate the factors of 46980 and 46990 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 46990

Prime factors of 46990 are 2, 5, 37, 127. Prime factorization of 46990 in exponential form is:

46990 = 2¹ × 5¹ × 37¹ × 127¹

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 46990

List of positive integer factors of 46990 that divides 46980 without a remainder.

1, 2, 5, 10, 37, 74, 127, 185, 254, 370, 635, 1270, 4699, 9398, 23495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46980 and 46990. The biggest common factor number is the GCF number.
So the greatest common factor 46980 and 46990 is 10.

Also check out the Least Common Multiple of 46980 and 46990