What is the Greatest Common Factor of 69970 and 69990?

Greatest common factor (GCF) of 69970 and 69990 is 10.

GCF(69970,69990) = 10

We will now calculate the prime factors of 69970 and 69990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69970 and 69990.

How to find the GCF of 69970 and 69990?

We will first find the prime factorization of 69970 and 69990. After we will calculate the factors of 69970 and 69990 and find the biggest common factor number .

Step-1: Prime Factorization of 69970

Prime factors of 69970 are 2, 5, 6997. Prime factorization of 69970 in exponential form is:

69970 = 2¹ × 5¹ × 6997¹

Step-2: Prime Factorization of 69990

Prime factors of 69990 are 2, 3, 5, 2333. Prime factorization of 69990 in exponential form is:

69990 = 2¹ × 3¹ × 5¹ × 2333¹

Step-3: Factors of 69970

List of positive integer factors of 69970 that divides 69970 without a remainder.

1, 2, 5, 10, 6997, 13994, 34985

Step-4: Factors of 69990

List of positive integer factors of 69990 that divides 69970 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2333, 4666, 6999, 11665, 13998, 23330, 34995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69970 and 69990. The biggest common factor number is the GCF number.
So the greatest common factor 69970 and 69990 is 10.

Also check out the Least Common Multiple of 69970 and 69990