What is the Greatest Common Factor of 69870 and 69890?

Greatest common factor (GCF) of 69870 and 69890 is 10.

GCF(69870,69890) = 10

We will now calculate the prime factors of 69870 and 69890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69870 and 69890.

How to find the GCF of 69870 and 69890?

We will first find the prime factorization of 69870 and 69890. After we will calculate the factors of 69870 and 69890 and find the biggest common factor number .

Step-1: Prime Factorization of 69870

Prime factors of 69870 are 2, 3, 5, 17, 137. Prime factorization of 69870 in exponential form is:

69870 = 2¹ × 3¹ × 5¹ × 17¹ × 137¹

Step-2: 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-3: Factors of 69870

List of positive integer factors of 69870 that divides 69870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 137, 170, 255, 274, 411, 510, 685, 822, 1370, 2055, 2329, 4110, 4658, 6987, 11645, 13974, 23290, 34935

Step-4: Factors of 69890

List of positive integer factors of 69890 that divides 69870 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69870 and 69890. The biggest common factor number is the GCF number.
So the greatest common factor 69870 and 69890 is 10.

Also check out the Least Common Multiple of 69870 and 69890