What is the Greatest Common Factor of 33980 and 33990?

Greatest common factor (GCF) of 33980 and 33990 is 10.

GCF(33980,33990) = 10

We will now calculate the prime factors of 33980 and 33990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33980 and 33990.

How to find the GCF of 33980 and 33990?

We will first find the prime factorization of 33980 and 33990. After we will calculate the factors of 33980 and 33990 and find the biggest common factor number .

Step-1: Prime Factorization of 33980

Prime factors of 33980 are 2, 5, 1699. Prime factorization of 33980 in exponential form is:

33980 = 2² × 5¹ × 1699¹

Step-2: Prime Factorization of 33990

Prime factors of 33990 are 2, 3, 5, 11, 103. Prime factorization of 33990 in exponential form is:

33990 = 2¹ × 3¹ × 5¹ × 11¹ × 103¹

Step-3: Factors of 33980

List of positive integer factors of 33980 that divides 33980 without a remainder.

1, 2, 4, 5, 10, 20, 1699, 3398, 6796, 8495, 16990

Step-4: Factors of 33990

List of positive integer factors of 33990 that divides 33980 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 103, 110, 165, 206, 309, 330, 515, 618, 1030, 1133, 1545, 2266, 3090, 3399, 5665, 6798, 11330, 16995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33980 and 33990. The biggest common factor number is the GCF number.
So the greatest common factor 33980 and 33990 is 10.

Also check out the Least Common Multiple of 33980 and 33990