What is the Greatest Common Factor of 35462 and 35468?

Greatest common factor (GCF) of 35462 and 35468 is 2.

GCF(35462,35468) = 2

We will now calculate the prime factors of 35462 and 35468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35462 and 35468.

How to find the GCF of 35462 and 35468?

We will first find the prime factorization of 35462 and 35468. After we will calculate the factors of 35462 and 35468 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 35468

Prime factors of 35468 are 2, 8867. Prime factorization of 35468 in exponential form is:

35468 = 2² × 8867¹

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 35468

List of positive integer factors of 35468 that divides 35462 without a remainder.

1, 2, 4, 8867, 17734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35462 and 35468. The biggest common factor number is the GCF number.
So the greatest common factor 35462 and 35468 is 2.

Also check out the Least Common Multiple of 35462 and 35468