What is the Greatest Common Factor of 35462 and 35476?

Greatest common factor (GCF) of 35462 and 35476 is 14.

GCF(35462,35476) = 14

We will now calculate the prime factors of 35462 and 35476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35462 and 35476.

How to find the GCF of 35462 and 35476?

We will first find the prime factorization of 35462 and 35476. After we will calculate the factors of 35462 and 35476 and find the biggest common factor number .

Step-1: Prime Factorization of 35462

Prime factors of 35462 are 2, 7, 17, 149. Prime factorization of 35462 in exponential form is:

35462 = 2¹ × 7¹ × 17¹ × 149¹

Step-2: Prime Factorization of 35476

Prime factors of 35476 are 2, 7, 181. Prime factorization of 35476 in exponential form is:

35476 = 2² × 7² × 181¹

Step-3: Factors of 35462

List of positive integer factors of 35462 that divides 35462 without a remainder.

1, 2, 7, 14, 17, 34, 119, 149, 238, 298, 1043, 2086, 2533, 5066, 17731

Step-4: Factors of 35476

List of positive integer factors of 35476 that divides 35462 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 181, 196, 362, 724, 1267, 2534, 5068, 8869, 17738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35462 and 35476. The biggest common factor number is the GCF number.
So the greatest common factor 35462 and 35476 is 14.

Also check out the Least Common Multiple of 35462 and 35476