What is the Greatest Common Factor of 562 and 570?
Greatest common factor (GCF) of 562 and 570 is 2.
GCF(562,570) = 2
We will now calculate the prime factors of 562 and 570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 562 and 570.
How to find the GCF of 562 and 570?
We will first find the prime factorization of 562 and 570. After we will calculate the factors of 562 and 570 and find the biggest common factor number .
Step-1: Prime Factorization of 562
Prime factors of 562 are 2, 281. Prime factorization of 562 in exponential form is:
562 = 21 × 2811
Step-2: Prime Factorization of 570
Prime factors of 570 are 2, 3, 5, 19. Prime factorization of 570 in exponential form is:
570 = 21 × 31 × 51 × 191
Step-3: Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1, 2, 281
Step-4: Factors of 570
List of positive integer factors of 570 that divides 562 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 562 and 570. The biggest common factor number is the GCF number.
So the greatest common factor 562 and 570 is 2.
Also check out the Least Common Multiple of 562 and 570
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Related Greatest Common Factors of 570
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