What is the Greatest Common Factor of 69420 and 69430?

Greatest common factor (GCF) of 69420 and 69430 is 10.

GCF(69420,69430) = 10

We will now calculate the prime factors of 69420 and 69430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69420 and 69430.

How to find the GCF of 69420 and 69430?

We will first find the prime factorization of 69420 and 69430. After we will calculate the factors of 69420 and 69430 and find the biggest common factor number .

Step-1: Prime Factorization of 69420

Prime factors of 69420 are 2, 3, 5, 13, 89. Prime factorization of 69420 in exponential form is:

69420 = 2² × 3¹ × 5¹ × 13¹ × 89¹

Step-2: Prime Factorization of 69430

Prime factors of 69430 are 2, 5, 53, 131. Prime factorization of 69430 in exponential form is:

69430 = 2¹ × 5¹ × 53¹ × 131¹

Step-3: Factors of 69420

List of positive integer factors of 69420 that divides 69420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 89, 130, 156, 178, 195, 260, 267, 356, 390, 445, 534, 780, 890, 1068, 1157, 1335, 1780, 2314, 2670, 3471, 4628, 5340, 5785, 6942, 11570, 13884, 17355, 23140, 34710

Step-4: Factors of 69430

List of positive integer factors of 69430 that divides 69420 without a remainder.

1, 2, 5, 10, 53, 106, 131, 262, 265, 530, 655, 1310, 6943, 13886, 34715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69420 and 69430. The biggest common factor number is the GCF number.
So the greatest common factor 69420 and 69430 is 10.

Also check out the Least Common Multiple of 69420 and 69430