What is the Greatest Common Factor of 69430 and 69450?

Greatest common factor (GCF) of 69430 and 69450 is 10.

GCF(69430,69450) = 10

We will now calculate the prime factors of 69430 and 69450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69430 and 69450.

How to find the GCF of 69430 and 69450?

We will first find the prime factorization of 69430 and 69450. After we will calculate the factors of 69430 and 69450 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69450

Prime factors of 69450 are 2, 3, 5, 463. Prime factorization of 69450 in exponential form is:

69450 = 2¹ × 3¹ × 5² × 463¹

Step-3: Factors of 69430

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

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

Step-4: Factors of 69450

List of positive integer factors of 69450 that divides 69430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 463, 926, 1389, 2315, 2778, 4630, 6945, 11575, 13890, 23150, 34725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69430 and 69450. The biggest common factor number is the GCF number.
So the greatest common factor 69430 and 69450 is 10.

Also check out the Least Common Multiple of 69430 and 69450