What is the Greatest Common Factor of 69890 and 69910?

Greatest common factor (GCF) of 69890 and 69910 is 10.

GCF(69890,69910) = 10

We will now calculate the prime factors of 69890 and 69910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69890 and 69910.

How to find the GCF of 69890 and 69910?

We will first find the prime factorization of 69890 and 69910. After we will calculate the factors of 69890 and 69910 and find the biggest common factor number .

Step-1: Prime Factorization of 69890

Prime factors of 69890 are 2, 5, 29, 241. Prime factorization of 69890 in exponential form is:

69890 = 2¹ × 5¹ × 29¹ × 241¹

Step-2: Prime Factorization of 69910

Prime factors of 69910 are 2, 5, 6991. Prime factorization of 69910 in exponential form is:

69910 = 2¹ × 5¹ × 6991¹

Step-3: Factors of 69890

List of positive integer factors of 69890 that divides 69890 without a remainder.

1, 2, 5, 10, 29, 58, 145, 241, 290, 482, 1205, 2410, 6989, 13978, 34945

Step-4: Factors of 69910

List of positive integer factors of 69910 that divides 69890 without a remainder.

1, 2, 5, 10, 6991, 13982, 34955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69890 and 69910. The biggest common factor number is the GCF number.
So the greatest common factor 69890 and 69910 is 10.

Also check out the Least Common Multiple of 69890 and 69910